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Finding the Fourth Proportional to 9,091.98, 13,640.43 and 3,249.06

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Solution

The fourth proportional to 9,091.98, 13,640.43 and 3,249.06 is: 4,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.98 : 13,640.43 = 3,249.06 : x
  2. Step 2: Convert to fraction form
    9,091.98/13,640.43 = 3,249.06/x
  3. Step 3: Cross multiply
    9,091.98x = 13,640.43 × 3,249.06
  4. Step 4: Simplify right side
    9,091.98x = 44,318,575.50
  5. Step 5: Solve for x
    x = 44,318,575.50/9,091.98
  6. Step 6: Final answer
    x = 4,874.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.